Details

Time bar (total: 15.9s)

sample17.0ms

Algorithm
intervals
Results
8.0ms350×body80valid

simplify15.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1117
2167
3207
4217
done217

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ (- (* x x) 3.0) 6.0)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×times-frac
10×add-cube-cbrt *-un-lft-identity
4×associate-/l* difference-of-squares
3×add-exp-log associate-/r* add-cbrt-cube
2×associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip-- div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
22.0ms
(/ (- (* x x) 3.0) 6.0)

series132.0ms

Counts
1 → 3
Calls
1 calls:
132.0ms
(/ (- (* x x) 3.0) 6.0)

simplify2.4s

Counts
37 → 37
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
078451
1174438
2399406
3938406
42545405
done5002405

prune102.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (/ x 6.0) x)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*l*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
20.0ms
(* (/ x 6.0) x)

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(* (/ x 6.0) x)

simplify6.2s

Counts
35 → 35
Iterations

Useful iterations: 4 (2.3s)

IterNodesCost
063261
1147256
2369216
3892216
42093212
done5001212

prune106.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (- (* x x) 3.0) (/ 1 6.0))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
11×times-frac
10×add-exp-log *-un-lft-identity
9×add-cube-cbrt
6×add-cbrt-cube
4×associate-*l* prod-exp
3×pow1 unswap-sqr
2×frac-times flip3-- div-exp associate-*l/ flip-- cbrt-unprod
1×cbrt-undiv rec-exp 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative div-inv add-log-exp difference-of-squares
Counts
1 → 41
Calls
1 calls:
58.0ms
(* (- (* x x) 3.0) (/ 1 6.0))

series115.0ms

Counts
1 → 3
Calls
1 calls:
115.0ms
(* (- (* x x) 3.0) (/ 1 6.0))

simplify2.1s

Counts
44 → 44
Iterations

Useful iterations: 2 (172.0ms)

IterNodesCost
0101572
1245475
2686395
32178395
done5002395

prune96.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ x 6.0) x)
0.4b
(* (sqrt (* (/ x 6.0) x)) (sqrt (* (/ x 6.0) x)))
19.2b
(sqrt (* (/ x 6.0) x))
19.2b
(sqrt (* (/ x 6.0) x))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×add-sqr-sqrt pow-prod-down
17×associate-*l*
16×add-cube-cbrt *-un-lft-identity
12×pow1/2
11×add-exp-log add-cbrt-cube
10×times-frac pow-prod-up
8×associate-*l/
7×associate-*r*
6×sqrt-div sqrt-prod pow-sqr
4×swap-sqr add-log-exp
3×prod-exp cbrt-unprod unswap-sqr
2×*-commutative
1×cbrt-undiv pow2 frac-times pow-plus sqrt-unprod associate-*r/ div-exp rem-square-sqrt div-inv
Counts
4 → 108
Calls
4 calls:
34.0ms
(* (/ x 6.0) x)
77.0ms
(* (sqrt (* (/ x 6.0) x)) (sqrt (* (/ x 6.0) x)))
11.0ms
(sqrt (* (/ x 6.0) x))
7.0ms
(sqrt (* (/ x 6.0) x))

series251.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* (/ x 6.0) x)
99.0ms
(* (sqrt (* (/ x 6.0) x)) (sqrt (* (/ x 6.0) x)))
55.0ms
(sqrt (* (/ x 6.0) x))
51.0ms
(sqrt (* (/ x 6.0) x))

simplify3.1s

Counts
120 → 120
Iterations

Useful iterations: done (3.1s)

IterNodesCost
01121124
1228814
2666709
32614679
done5000673

prune271.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes57.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
done67

end0.0ms

sample591.0ms

Algorithm
intervals
Results
352.0ms10703×body80valid